No Video Establishes Binary Tetrahedral Group ↔ 24-Cell ↔ Clifford Group Isomorphism — E8 Intelligence Research

FINDING: Search returned only general quaternionic/Clifford-algebra pedagogy; no video directly establishes the binary tetrahedral group ↔ 24-cell ↔ Clifford group isomorphism. | MATH: Quaternion group Q₈ = {±1, ±i, ±j, ±k}, i²=j²=k²=ijk=−1; unit quaternions ≅ SU(2) ≅ Spin(3), double cover of SO(3); Clifford algebras Cl(2)≅biquaternions, Cl(3)≅Pauli, Cl(0,3)≅ℍ⊕ℍ. | CONNECTION: The relevant (unstated) structure is the binary tetrahedral group 2T ≅ SL(2,3), order 24, whose 24 elements are the vertices of the 24-cell (self-dual regular 4-polytope, F₄ root system). 2T sits inside the unit quaternions; the 24-cell's 24 vertices = 2T, its 96 edges, 96 triangles, 24 octahedra. Clifford group (single-qubit) has order 24 mod phase ≅ 2T/S, matching 24-cell vertex count. | DEPTH: 3 — sources are introductory; the actual isomorphism chain (2T ≅ 24-cell vertices ⊂ unit quaternions ⊂ Cl(3) ⊂ Clifford group) is not demonstrated in the retrieved material. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com